Circle around an ellipse

[ptc-3352045]

Can anyone help?

A circle rotates tangentially around a fixed ellipse, given the dimensions of the circle and the ellipse, and the angle of rotation,

the problem is to find the centre distance between the circle and the ellipse at any given rotation angle??

[RichardJ]

What are you defining as the rotation angle? If you mean the rotation angle of the circle, then for a large ellipse and a small circle there will be many possible distances for any given angle.

[ValeryOchkov]

Brian Webber wrote:

Can anyone help?

A circle rotates tangentially around a fixed ellipse, given the dimensions of the circle and the ellipse, and the angle of rotation,

the problem is to find the centre distance between the circle and the ellipse at any given rotation angle??

Thanks Brian!

It is a fine idea for the Groupe Fine Math curves in Mathcad

I wiil do it!

[Fred_Kohlhepp]

I'm not sure why this solution fails in some areas; but you could extrapolate the curve.

[ValeryOchkov]

See the video and sheet in attach:

[Fred_Kohlhepp]

Great video!

Where's the math?

[ValeryOchkov]

Fred Kohlhepp wrote:

Great video!

Where's the math?

Thanks and sorry - see the attach!

But the sheet is not ready - I would like by students help to create a curve - like here http://communities.ptc.com/videos/2082 (A Cardioid).